Please solve by hand

Exercise 3 (H) (40 points) (Problem 21.1 in Chapra and Canale, 8th edition, modified) Evaluate the following integral x /2 (8 + 4 sin x) dx Using: A. Analytical method (true value) B. Single application of the trapezoidal rule C. Multiple-application trapezoidal rule, with n = 3 D. Single application of Simpson's 1/3 rule E. Multiple-application Simpson's 1/3 rule, with n = 4 F. Single application of Simpson's 3/8 rule G. Multiple-application Simpson's rule, with n = 5 Note: For each of the numerical estimates (B) through (G), determine the true percent relative error based on (A)